Approximation Property of the Stationary Stokes Equations with the Periodic Boundary Condition

نویسندگان
چکیده

برای دانلود رایگان متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

A Posteriori Error Estimator for Mixed Approximation of the Navier-Stokes Equations with the Boundary Condition

In this paper, we introduce the Navier-Stokes equations with a new boundary condition. In this context, we show the existence and uniqueness of the solution of the weak formulation associated with the proposed problem. To solve this latter, we use the discretization by mixed finite element method. In addition, two types of a posteriori error indicator are introduced and are shown to give global...

متن کامل

On the Time Approximation of the Stokes Equations with Slip Boundary Condition

This work is concerned with the numerical approximation of the unsteady Stokes flow of a viscous incompressible fluid driven by a threshold slip boundary condition of friction type. The continuous problem is formulated as variational inequality, which is next discretize in time based on backward Euler’s scheme. We prove existence and uniqueness of the solution of the time discrete problem by me...

متن کامل

A mixed finite element approximation of the Stokes equations with the boundary condition of type ( D + N )

In this paper we introduced the Stokes equations with a boundary condition of type (D+N). The weak formulation obtained is a problem of saddle point type. We have shown the existence and uniqueness of the solution of this problem. We used the discretization by mixed finite element method with a posteriori error estimation of the computed solutions. In order to evaluate the performance of the me...

متن کامل

Navier-Stokes equations with periodic boundary conditions and pressure loss

We present in this note the existence and uniqueness results for the Stokes and Navier-Stokes equations which model the laminar flow of an incompressible fluid inside a two-dimensional channel of periodic sections. The data of the pressure loss coefficient enables us to establish a relation on the pressure and to thus formulate an equivalent problem.

متن کامل

The Stationary Navier-Stokes Equations

Having considered the linear Stokes equations, we will now bring back the nonlinear term and consider the nonlinear version of the Stokes system. The solution of these equations can be viewed as the limit to which the solution of the full N-S equations tends as t tends to infinity. Of course no one knows at this point if the solutions of the N-S equations do tend to some limit as t tends to inf...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

ژورنال

عنوان ژورنال: Journal of Function Spaces

سال: 2018

ISSN: 2314-8896,2314-8888

DOI: 10.1155/2018/5138414